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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 491 · 40 sums
TalentJR

The method (90, 180, equal): Complement of a = 90 − a. Supplement of a = 180 − a. Lines crossing: vertically opposite angles are equal; a linear pair adds up to 180°. Parallel lines: corresponding angles equal, alternate interior angles equal, interior angles on the same side add up to 180°. One angle d° more than the other: bigger = (total + d) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two angles are supplementary. One is 114° more than the other. What is the bigger angle (in degrees)?
  3. 3.Are 72° and 108° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  4. 4.Two parallel lines are cut by a transversal. One angle is 35°. What is its corresponding angle (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 136°. What is the angle next to it on the same line (in degrees)?
  6. 6.What is the complement of 80° (in degrees)?
  7. 7.What is the complement of 15° (in degrees)?
  8. 8.What is the supplement of 93° (in degrees)?
  9. 9.What is the complement of 78° (in degrees)?
  10. 10.What is the complement of 32° (in degrees)?
  11. 11.Are 73° and 107° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  12. 12.What is the supplement of 145° (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 120°. What is the angle next to it on the same line (in degrees)?
  14. 14.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 55°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 151°. What is the angle vertically opposite to it (in degrees)?
  17. 17.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 38°. What is its corresponding angle (in degrees)?
  19. 19.Are 42° and 24° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  20. 20.What is the supplement of 43° (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 160°. What is the angle vertically opposite to it (in degrees)?
  22. 22.What is the complement of 9° (in degrees)?
  23. 23.Are 70° and 110° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  24. 24.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 128°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.What is the supplement of 33° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One angle is 67°. What is its corresponding angle (in degrees)?
  28. 28.Are 48° and 11° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  29. 29.What is the complement of 34° (in degrees)?
  30. 30.Are 52° and 31° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  31. 31.What is the complement of 5° (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 136°. What is its alternate interior angle (in degrees)?
  33. 33.What is the complement of 52° (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 116°. What is the angle next to it on the same line (in degrees)?
  35. 35.What is the complement of 76° (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One angle is 115°. What is its corresponding angle (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 22°. What is the angle vertically opposite to it (in degrees)?
  38. 38.What is the complement of 42° (in degrees)?
  39. 39.What is the supplement of 119° (in degrees)?
  40. 40.What is the complement of 54° (in degrees)?

Answer key

  1. 76
  2. 147
  3. Supplementary
  4. 35
  5. 44
  6. 10
  7. 75
  8. 87
  9. 12
  10. 58
  11. Supplementary
  12. 35
  13. 60
  14. 66
  15. 125
  16. 151
  17. 48
  18. 38
  19. Neither
  20. 137
  21. 160
  22. 81
  23. Supplementary
  24. 111
  25. 52
  26. 147
  27. 67
  28. Neither
  29. 56
  30. Neither
  31. 85
  32. 136
  33. 38
  34. 64
  35. 14
  36. 115
  37. 22
  38. 48
  39. 61
  40. 36

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